I also made an appointment at the Genius Bar and took my phone in Sunday. The phone didn't exhibit any of the problems described above while I was there but honestly, I'm not sure the guy even checked. We sat down, I described the problem, he went to the back and got me a new phone. According to him, it had a bad touch sensor. We backed my old phone up to iCloud one more time, got the new phone running and restored to my back up, deleted everything off of my old phone, and I was out the door in no time with a new phone, and all of my data.
All tech products will have their share of issues, that's just the way it is. But my experience in the store last Sunday is the reason I won't even consider buying a phone or computer from any company other than Apple.